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基于Ghosh提出的Voronoi单元有限元方法,构造能同时反映纤维增强复合材料界面脱层和基体裂纹扩展的单元(X-VCFEM单元);应用界面力学理论和断裂力学理论,建立界面脱层、界面裂纹扩展方向和基体裂纹扩展的判断准则;结合网格重划分技术,模拟分析了只含有一个夹杂时界面脱层和基体裂纹扩展的过程,并通过与传统有限元计算结果的比较,验证X-VCFEM单元的可靠性和有效性;同时,模拟分析含任意随机分布夹杂的纤维增强复合材料界面脱层和基体裂纹的产生和扩展过程。结果表明:应用该方法模拟复杂多相复合材料裂纹问题具有计算速度快和精度高的优越性。
Based on the Voronoi finite element method proposed by Ghosh, a unit (X-VCFEM unit) that can simultaneously reflect interface delamination and matrix crack growth of fiber reinforced composites was constructed. Based on interface mechanics theory and fracture mechanics theory, interface delamination and interface cracks The extension direction and the matrix crack propagation criterion. Combined with the mesh re-division technique, the process of interface delamination and matrix crack propagation with only one inclusions was simulated and analyzed. The results of X-VCFEM Unit reliability and validity. Simultaneously, the generation and propagation of interface delamination and matrix crack in fiber reinforced composites with randomly distributed inclusions were simulated and analyzed. The results show that this method has the advantages of fast calculation and high accuracy in simulating the crack of complex multiphase composites.